Theory of computation | Computability theory

Computable number

In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. They are also known as the recursive numbers, effective numbers or the computable reals or recursive reals. Equivalent definitions can be given using μ-recursive functions, Turing machines, or λ-calculus as the formal representation of algorithms. The computable numbers form a real closed field and can be used in the place of real numbers for many, but not all, mathematical purposes. (Wikipedia).

Computable number
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Ex: Determine a Real, Imaginary, and Complex Number

This video explains how decide if a number is best described by the set of real, imaginary, or complex numbers. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Performing Operations with Complex Numbers

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A Maths Puzzle: Find the nine digit number

Find a nine digit numbers, using the numbers 1 to 9, and using each number once without repeats, such that; the first digit is a number divisible by 1. The first two digits is a number divisible by 2; The first three digits is a number divisible by 3 and so on until we get a nine digit num

From playlist My Maths Videos

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Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations

This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form

From playlist Math Foundations

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Ex: Determine a Number that is Less Than and Greater than Using a Specific Place Value

This video provides examples of how to find a number that is less than and greater than a given number using a specific place value. Search Video Library at http://www.mathispower4u.wordpress.com

From playlist Whole Numbers: Place Value and Writing Numbers

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What Is A Prime Number?

Introduction to prime numbers for GCSE 9-1 maths!

From playlist Prime Numbers, HCF and LCM - GCSE 9-1 Maths

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Tutorial - What is an imaginary number

http://www.freemathvideos.com In this video playlist you will learn everything you need to know with complex and imaginary numbers

From playlist Complex Numbers

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Real Numbers

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From playlist Integers

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What are Imaginary Numbers?

We discuss what imaginary numbers are and how they are part of the larger set of complex numbers in this free math video tutorial by Mario's Math Tutoring. This is a nice introduction to working with i. We also go through some examples. 0:26 A Hierarchy of Different Types of Numbers 1:03

From playlist Imaginary & Complex Numbers

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Different Types of Numbers on the number line, lesson 1 #shorts

Watch the full playlist: https://www.youtube.com/watch?v=kcxK3_sROZA&list=PL14bv5vXK2WWuODhGbpPQA0GamV5ohOVb&index=1 Natural Numbers (N), (also called positive integers, counting numbers, or natural numbers); They are the numbers {1, 2, 3, 4, 5, …} Whole Numbers (W). This is the set of na

From playlist Celebrities Teach Math: The Number System

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LMS Popular Lecture Series 2014, What's in a Number?, Prof Kevin Buzzard

LMS Popular Lecture Series 2014, What's in a Number?, Prof Kevin Buzzard

From playlist LMS Popular Lectures 2007 - present

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Lec 18 | MIT RES.6-008 Digital Signal Processing, 1975

Lecture 18: Computation of the discrete Fourier transform, part 1 Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES.6-008 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT RES.6-008 Digital Signal Processing, 1975

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Finding hay in a haystack (where the hay is a non-computable number)

Disclaimer: The purpose of this video is mathematical divulgation, and we do not make any formal proofs on it, also, there are a lot of little details we skipped over in order to not overwhealm the viewer. Formal arguments and further details are exposed in the papers and videos listed as

From playlist Summer of Math Exposition Youtube Videos

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What Computers Can't Do - with Kevin Buzzard

Kevin Buzzard explains one of the biggest unsolved problems in theoretical computer science - the P vs NP problem. Watch the Q&A here: https://youtu.be/A6J9p4iOr3A Subscribe for regular science videos: http://bit.ly/RiSubscRibe Today’s computers are lightning-fast. But sometimes we want

From playlist Computing/Tech/Engineering

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Expanding the Frontiers of Computer Science Education

by Mehran Sahami, Professor (Teaching) of Computer Science, Associate Chair for Education and Director of Educational Affairs, Computer Science, Robert and Ruth Halperin, University Fellow in Undergraduate Education

From playlist Stanford Computer Science 50th Anniversary

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Computation Ep34, Uncomputable numbers (Apr 29, 2022)

This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi

From playlist Math 3342 (Theory of Computation) Spring 2022

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Lec 19 | MIT RES.6-008 Digital Signal Processing, 1975

Lecture 19: Computation of the discrete Fourier transform, part 2 Instructor: Alan V. Oppenheim View the complete course: http://ocw.mit.edu/RES.6-008 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT RES.6-008 Digital Signal Processing, 1975

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Are Quantum Computers Really A Threat To Cryptography?

Shor's Algorithm for factoring integer numbers is the big threat to cryptography (RSA/ECC) as it reduces the complexity from exponential to polynomial, which means a Quantum Computer can reduce the time to crack RSA-2048 to a mere 10 seconds. However current noisy NISQ type quantum compute

From playlist Blockchain

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Norbert Müller : Wrapping in exact real arithmetic

Abstract : A serious problem common to all interval algorithms is that they suffer from wrapping effects, i.e. unnecessary growth of approximations during a computation. This is essentially connected to functional dependencies inside vectors of data computed from the same inputs. Reducing

From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

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CS105: Introduction to Computers | 2021 | Lecture 5.2 Computer Networks: Naming

Patrick Young Computer Science, PhD This course is a survey of Internet technology and the basics of computer hardware. You will learn what computers are and how they work and gain practical experience in the development of websites and an introduction to programming. To follow along wi

From playlist Stanford CS105 - Introduction to Computers Full Course

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What are imaginary numbers?

Imaginary numbers are any numbers that include the imaginary number i. A mix of imaginary and real numbers gives you what’s called a complex number. The primary reason we use imaginary numbers is to give us a way to find the root (radical) of a negative number. There’s no way to use real

From playlist Popular Questions

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